{"id":6418,"date":"2023-12-31T23:26:25","date_gmt":"2023-12-31T15:26:25","guid":{"rendered":"https:\/\/zyrastory.com\/?p=6418"},"modified":"2024-01-21T17:46:06","modified_gmt":"2024-01-21T09:46:06","slug":"codeforces-339b-xenia-and-ringroad-solution-and-explanation-en","status":"publish","type":"post","link":"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339b-xenia-and-ringroad-solution-and-explanation-en\/","title":{"rendered":"Codeforces 339B Xenia and Ringroad Solution &amp; Explanation"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_66_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >\u5167\u5bb9\u76ee\u9304<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339b-xenia-and-ringroad-solution-and-explanation-en\/#problem-description\" title=\"Problem Description\">Problem Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339b-xenia-and-ringroad-solution-and-explanation-en\/#solution\" title=\"Solution\">Solution<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339b-xenia-and-ringroad-solution-and-explanation-en\/#c-solution\" title=\"C# Solution\">C# Solution<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339b-xenia-and-ringroad-solution-and-explanation-en\/#java-solution\" title=\"Java Solution\">Java Solution<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339b-xenia-and-ringroad-solution-and-explanation-en\/#conclusion\" title=\"Conclusion\">Conclusion<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Difficulty : 1300<\/p>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"problem-description\"><\/span><strong>Problem Description<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Xenia lives in a city that has&nbsp;<em>n<\/em>&nbsp;houses built along the main ringroad. The ringroad houses are numbered 1 through&nbsp;<em>n<\/em>&nbsp;in the clockwise order. The ringroad traffic is one way and also is clockwise.<\/p>\n\n\n\n<p>Xenia has recently moved into the ringroad house number 1. As a result, she&#8217;s got&nbsp;<em>m<\/em>&nbsp;things to do. In order to complete the&nbsp;<em>i<\/em>-th task, she needs to be in the house number&nbsp;<em>a<\/em><sub><em>i<\/em><\/sub>&nbsp;and complete all tasks with numbers less than&nbsp;<em>i<\/em>. Initially, Xenia is in the house number 1, find the minimum time she needs to complete all her tasks if moving from a house to a neighboring one along the ringroad takes one unit of time.<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Input<\/strong><\/p>\n\n\n\n<p>The first line contains two integers&nbsp;<em>n<\/em>&nbsp;and&nbsp;<em>m<\/em>&nbsp;(2\u2009\u2264\u2009<em>n<\/em>\u2009\u2264\u200910<sup>5<\/sup>,\u20091\u2009\u2264\u2009<em>m<\/em>\u2009\u2264\u200910<sup>5<\/sup>). The second line contains&nbsp;<em>m<\/em>&nbsp;integers&nbsp;<em>a<\/em><sub>1<\/sub>,\u2009<em>a<\/em><sub>2<\/sub>,\u2009&#8230;,\u2009<em>a<\/em><sub><em>m<\/em><\/sub>&nbsp;(1\u2009\u2264\u2009<em>a<\/em><sub><em>i<\/em><\/sub>\u2009\u2264\u2009<em>n<\/em>). Note that Xenia can have multiple consecutive tasks in one house.<\/p>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Output<\/strong><\/p>\n\n\n\n<p>Print a single integer \u2014 the time Xenia needs to complete all tasks.<\/p>\n\n\n\n<p>Please, do not use the&nbsp;%lld&nbsp;specifier to read or write 64-bit integers in \u0421++. It is preferred to use the&nbsp;cin,&nbsp;cout&nbsp;streams or the&nbsp;%I64d&nbsp;specifier.<\/p>\n\n\n\n<div style=\"height:25px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Examples<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-border-color has-palette-color-4-border-color has-fixed-layout\"><tbody><tr><td>Input<\/td><td>4 3<br>3 2 3<\/td><\/tr><tr><td>Output<\/td><td>6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-border-color has-palette-color-4-border-color has-fixed-layout\"><tbody><tr><td>Input<\/td><td>4 3<br>2 3 3<\/td><\/tr><tr><td>Output<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div style=\"height:15px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Note<\/strong><\/p>\n\n\n\n<p>In the first test example the sequence of Xenia&#8217;s moves along the ringroad looks as follows:&nbsp;1\u2009\u2192\u20092\u2009\u2192\u20093\u2009\u2192\u20094\u2009\u2192\u20091\u2009\u2192\u20092\u2009\u2192\u20093. This is optimal sequence. So, she needs 6 time units.<\/p>\n\n\n\n<div style=\"height:35px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"solution\"><\/span><strong>Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In our solution, we use a variable to store the current position, and we calculate the distance using a Ternary&nbsp;operator.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"c-solution\"><\/span><strong>C# Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>Solution1<\/strong><\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism undefined-numbers lang-csharp\" data-lang=\"C#\"><code>string[] first = Console.ReadLine().Split(&#39; &#39;); \/\/ split by space\nint n = int.Parse(first[0]); \/\/ number of houses\n\nlong[] missions = Console.ReadLine().Split(&#39; &#39;).Select(long.Parse).ToArray();\n\nlong now = 1;\nlong res = 0;\n\nforeach (var m in missions)\n{\n    res += m &gt;= now ? m - now : n - now + m;\n    now = m;\n}\n\nConsole.WriteLine(res);\n<\/code><\/pre><\/div>\n\n\n\n<p>We use long to perform calculations, aiming to avoid issues related to exceeding the range of int, especially in some test cases.<\/p>\n\n\n\n<div style=\"height:45px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"java-solution\"><\/span><strong>Java Solution<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>Solution1<\/strong><\/p>\n\n\n\n<div class=\"hcb_wrap\"><pre class=\"prism undefined-numbers lang-java\" data-lang=\"Java\"><code>import java.util.Scanner;\nimport java.util.Arrays;\n\npublic class Main {\n    public static void main(String[] args) {\n        Scanner scanner = new Scanner(System.in);\n        \n        String[] first = scanner.nextLine().split(&quot; &quot;); \/\/ split by space\n        int n = Integer.parseInt(first[0]); \/\/ number of houses\n        \n        String input = scanner.nextLine();\n\n        long[] missions = Arrays.stream(input.split(&quot; &quot;))\n                            .mapToLong(Long::parseLong)\n                            .toArray();\n        \n        long now = 1;\n        long res = 0;\n        \n        for(long m : missions)\n        {\n            res += m &gt;= now ? m - now : n - now + m;\n            now = m;\n        }\n        System.out.println(res);\n    }\n}<\/code><\/pre><\/div>\n\n\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"tw-target-text\"><span class=\"ez-toc-section\" id=\"conclusion\"><\/span><strong>Conclusion<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>This problem came from codeforces contest &#8211; <a href=\"https:\/\/codeforces.com\/contest\/339\" target=\"_blank\" rel=\"noreferrer noopener\">Dashboard &#8211; Codeforces Round 197 (Div. 2) &#8211; Codeforces<\/a><\/p>\n\n\n\n<p>Here to see other problem of this contest:<\/p>\n\n\n\n<ul>\n<li><a href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-339a-helpful-maths-solution-and-explanation-en\/\" target=\"_blank\" rel=\"noreferrer noopener\">Codeforces 339A Helpful Maths Solution &amp; Explanation<\/a><\/li>\n<\/ul>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-medium-font-size\">\ud83e\udde1<strong>If my solution helps, that is my honor!<\/strong><\/p>\n\n\n\n<p class=\"has-medium-font-size\">\ud83e\udde1<strong>You can support me by sharing my posts, thanks you~~<\/strong><\/p>\n\n\n\n<p><strong>\u2705If you got any problem about the explanation or you need other programming language solution, please feel free to let me know !!<\/strong><\/p>\n\n\n\n<div style=\"height:40px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>The problem link :<\/strong> <a href=\"https:\/\/codeforces.com\/problemset\/problem\/339\/B\" target=\"_blank\" rel=\"noreferrer noopener\">Problem &#8211; 339B &#8211; Codeforces<\/a><\/p>\n\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><strong>Random Codeforces Posts<\/strong><\/p>\n\n\n\n\t\t\t<div class=\"wp-block-uagb-post-grid uagb-post-grid  uagb-post__image-position-top uagb-post__image-disabled uagb-block-613bccac     uagb-post__items uagb-post__columns-3 is-grid uagb-post__columns-tablet-2 uagb-post__columns-mobile-1 uagb-post__equal-height\" data-total=\"12\" style=\"\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-4c-registration-system-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Codeforces 4C Registration system Solution &#038; Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2023-12-30T22:12:47+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2023-12-30\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-4c-registration-system-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<article class=\"uagb-post__inner-wrap\">\t\t\t\t\t\t\t\t<h4 class=\"uagb-post__title uagb-post__text\">\n\t\t\t\t<a href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-71a-way-too-long-words-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Codeforces 71A Way Too Long Words Solution &#038; 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Explanation<\/a>\n\t\t\t<\/h4>\n\t\t\t\t\t\t<div class='uagb-post__text uagb-post-grid-byline'>\n\t\t\t\t\t\t\t\t<time datetime=\"2024-04-21T21:32:54+08:00\" class=\"uagb-post__date\">\n\t\t\t\t<span class=\"dashicons-calendar dashicons\"><\/span>\t\t\t\t\t2024-04-21\t\t\t\t<\/time>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<div class=\"uagb-post__text uagb-post__cta wp-block-button\">\n\t\t\t\t<a class=\"wp-block-button__link uagb-text-link\" href=\"https:\/\/zyrastory.com\/en\/coding-en\/codeforces-en\/codeforces-1791a-codeforces-checking-solution-and-explanation-en\/\" target=\"_self\" rel=\"bookmark noopener noreferrer\">Read More<\/a>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/article>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"uagb-post-pagination-wrap\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t","protected":false},"excerpt":{"rendered":"<p>Minimize Xenia&#8217;s task time in a city with a one-way ring road. Find the shortest path to complete tasks efficiently.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","footnotes":""},"categories":[269],"tags":[],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Codeforces 339B Xenia and Ringroad Solution &amp; Explanation - zyrastory\u7a0b\u5f0f\u7f8e\u98df\u7814\u7a76\u4e2d\u5fc3<\/title>\n<meta name=\"description\" content=\"Minimize Xenia&#039;s task time in a city with a one-way ring road. Find the shortest path to complete tasks efficiently. 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